Use the Laplace Transform Calculator | Numerical Transform Tool
Enter your values below. The calculator runs in your browser and shows an estimate immediately.
How the estimate is calculated
F(s) = ∫₀∞ e^(−st) f(t) dt; numerical approximation integrates from 0 to your chosen cutoff
Example: For f(t)=t and s=2, the exact transform is 1/s² = 0.25. A sufficiently long cutoff should return a value close to 0.25.
When this calculator is useful
The numerical result can help check a simple transform pair or explore how the value changes when s changes. It is especially important to choose a cutoff that captures the part of the integral that contributes meaningfully; the page reports the finite interval so you can judge that assumption.
How to use this calculator
Enter a function of t, choose s greater than zero and select a cutoff long enough for e^(−st)f(t) to become small. The result is useful for checking examples and gaining intuition about a transform.
What to keep in mind
This tool returns a numerical estimate for real s>0 over a finite interval. It does not return a symbolic expression, handle inverse transforms, or determine a function’s full convergence region. Oscillatory or growing functions may need a specialist symbolic or numerical system.
Frequently asked questions
What is a Laplace transform?
It converts a time-domain function into a function of a complex frequency variable and is widely used in differential equations and control systems.
Does this return a symbolic formula?
No. It estimates the transform numerically for one real positive s value.
Why is there a time cutoff?
An infinite integral must be approximated numerically over a finite interval. The exponential factor usually makes the tail small when s is positive.
Can it calculate an inverse Laplace transform?
No. This page estimates the forward one-sided transform only.